Answer:
There can be 14,040,000 different passwords
Step-by-step explanation:
Number of permutations to order 3 letters and 2 numbers (total 5)
(AAANN, AANNA,AANAN,...)
= 5! / (3! 2!)
= 120 / (6*2)
= 10
For each permutation, the three distinct (English) letters can be arranged in
26!/(26-3)! = 26!/23! = 26*25*24 = 15600 ways
For each permutation, the two distinct digits can be arranged in
10!/(10-2)! = 10!/8! = 10*9 = 90 ways.
So the total number of distinct passwords is the product of all three permutations,
N = 10 * 15600 * 90 = 14,040,000
Answer:
a. 3/5 liters per hour
b .06 hours
Step-by-step explanation:
Change 40 minutes to a fraction of an hour
40 minutes/ 60 minutes = 2/3 hour
It takes 1 2/3 hours to fill the container
Changing to an improper fraction
(3*1+2)/3 = 5/3 hours
We want liters per hour
1 liter per 5/3 hours
1 ÷ 5/3
Copy dot flip
1 * 3/5 = 3/5 liters per hour
Change 100 ml to liters
We know 1000 ml = 1 lt
100 ml * 1 lt/1000 ml = .1 lt
So 100 ml = .1 lts
.1 lt * 3/5 lt per hour
Changing the fraction to a decimal
.1 lt * .6 lt per hour
.06 hours
Answer:
Area = 97.4 cm²
Step-by-step explanation:
a = 15 cm
Answer:
$0.119... per oz, or 0.1
Step-by-step explanation:
$.179 ÷ 15 = 0.119...
Now round to the nearest tenth, and you get 0.1.
Answer:
c. 3a^2b^11/2
Step-by-step explanation:
The applicable rule of exponents is ...
(a^b)/(a^c) = a^(b-c)
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